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Finding the Fourth Proportional to 32,536.56, 48,805.08 and 11,760

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Solution

The fourth proportional to 32,536.56, 48,805.08 and 11,760 is: 17,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.56 : 48,805.08 = 11,760 : x
  2. Step 2: Convert to fraction form
    32,536.56/48,805.08 = 11,760/x
  3. Step 3: Cross multiply
    32,536.56x = 48,805.08 × 11,760
  4. Step 4: Simplify right side
    32,536.56x = 573,947,740.80
  5. Step 5: Solve for x
    x = 573,947,740.80/32,536.56
  6. Step 6: Final answer
    x = 17,640.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.